I don't dislike the wargaming side (I do love minis). One can play a wargame lite or heavy, and I do want to nail down reliable house rules for the wargaming side. If the combat side doesn't function as a good wargame, then it's a different game. But a lite wargame permits more narration of what's going on (that's just me and my capability). It's also faster paced and finished more quickly. This gives more time for interaction with the world, but I fully support the wargame side.
As to the approach and the intent of the game, it gives me a better platform to run a game the way I want to run it. It's not a storytelling session; what I mean by roleplaying with wargaming, as opposed to wargaming with roleplaying, is that C&C supports a more narrated style by the GM, with less reference to rules and more GM "rule calls." That's all, but it's a huge difference. The fact that we don't have half-dragons and such is not really due to C&C - I'd rule 0 that in 3E too, if it wouldn't throw everything off.
Now, that's not to say that it's illegitimate to play wargaming-with-roleplaying. It's just not my game. C&C lets me manage the action better.
Our last session was very good, I thought. I had fun, anyway.